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Il n'y a aucun problème.

Il n'y a aucun problème.
There is no problem at all.
From Lesson 112:Negative pronouns (ne... personne)·French

Questions & Answers about Il n'y a aucun problème.

Where did the pas go? Why isn't it Il n'y a pas aucun problème?
Just like the ne... personne (nobody) structure you are learning, ne... aucun (none / not a single one) is a complete negative pair. You drop the pas because aucun replaces it. Saying ne... pas aucun would be a double negative.
What is the difference between saying Il n'y a pas de problème and Il n'y a aucun problème?
Both mean 'There is no problem,' but aucun adds a stronger emphasis. It is like saying 'There is no problem at all' or 'There is not a single problem.'
Why is it n'y a instead of ne y a?
The negative word ne always drops its 'e' and uses an apostrophe when the very next word starts with a vowel or the vowel-like letter y.
Since problème is masculine, we use aucun. What if the noun was feminine?
You would use the feminine form, aucune. For example, if you wanted to say 'There is no solution at all,' you would say Il n'y a aucune solution.
Do we ever make aucun plural and add an 's' to it?
Usually, no. Because aucun specifically means 'not a single one,' the noun that follows it is almost always singular. You keep both aucun and problème without an 's'.

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